Greedy expansions and sets with deleted digits

DOI10.1016/j.tcs.2004.11.002zbMath1080.11009OpenAlexW2032469852MaRDI QIDQ1770394

Marco Pedicini

Publication date: 6 April 2005

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.tcs.2004.11.002

zbMATH Keywords

automataexpansionsnon-integer basesPisot-number

Mathematics Subject Classification ID

Formal languages and automata (68Q45) Radix representation; digital problems (11A63) Automata sequences (11B85)

Related Items

Dynamical behavior of alternate base expansions ⋮ UNIQUE EXPANSION OF POINTS OF A CLASS OF SELF‐SIMILAR SETS WITH OVERLAPS ⋮ Expansions in multiple bases over general alphabets ⋮ On the cardinality and complexity of the set of codings for self-similar sets with positive Lebesgue measure ⋮ Quasi-periodic \(\beta\)-expansions and cut languages ⋮ Greedy and lazy representations in negative base systems ⋮ Optimal number representations in negative base ⋮ Geometrical aspects of expansions in complex bases ⋮ Beta-expansions, natural extensions and multiple tilings associated with Pisot units ⋮ Critical bases for ternary alphabets ⋮ Description of spectra of quadratic Pisot units ⋮ Minimal unique expansions with digits in ternary alphabets ⋮ A natural extension for the greedy \(\beta\)-transformation with three arbitrary digits ⋮ Intervals of permutation class growth rates ⋮ Expansions in multiple bases ⋮ Invariant densities for piecewise linear maps of the unit interval ⋮ Optimal expansions in non-integer bases ⋮ Self-similar control systems and applications to zygodactyl bird's foot

Cites Work

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• On some problems of I. Joó
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• On Periodic Expansions of Pisot Numbers and Salem Numbers
• Nombres algébriques et analyse harmonique
• Characterization of the unique expansions $1=\sum^{\infty}_{i=1}q^{-n_ i}$ and related problems

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